Search Results

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0195

  59117 3462 pp. 1020-1048

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 1027-1058

• On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

  Zhen Gao, Tao Zhou

  2014-08-03

  DOI:10.4208/cicp.130813.060214a

  42519 4177 pp. 365-381

• Convergence Analysis for Over-Parameterized Deep Learning

  Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0264

  28088 2178 pp. 71-103

• Convergence Analysis of PINNs with Over-Parameterization

  Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang

  2025-04-27

  DOI:10.4208/cicp.OA-2023-0101

  9335 581 pp. 942-974

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  DOI:10.4208/cicp.240113.071113a

  42167 5498 pp. 1-34

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38615 4123 pp. 826-847

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0074

  47424 3536 pp. 905-929

• Bayesian Model Calibration with Interpolating Polynomials Based on Adaptively Weighted Leja Nodes

  Laurent van den Bos, Benjamin Sanderse, Wim Bierbooms, Gerard van Bussel

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0218

  53363 4973 pp. 33-69

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 1335-1364

• A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

  Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng

  2024-09-06

  DOI:10.4208/cicp.OA-2023-0258

  19543 1582 pp. 551-580

• A Minimum Action Method with Optimal Linear Time Scaling

  Xiaoliang Wan

  2020-07-30

  DOI:10.4208/cicp.030614.180315a

  39804 3358 pp. 1352-1379

• Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

  M. Azaiez, T. Chacon Rebollo, E. Perracchione, J. M. Vega

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0257

  44603 4776 pp. 1556-1578 Open Access

• Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

  Xiangjun Meng, Xuelian Bao, Zhengru Zhang

  2025-01-22

  DOI:10.4208/cicp.OA-2022-0269

  15674 1042 pp. 137-170

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  DOI:10.4208/cicp.OA-2023-0167

  28398 1941 pp. 1309-1326

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0186

  52182 3175 pp. 1272-1295

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0074

  49556 4334 pp. 60-93 Open Access

• The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

  Binbin Du, Jianguo Huang

  2018-11-09

  DOI:10.4208/cicp.OA-2017-0235

  47269 3547 pp. 752-780

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  DOI:10.4208/cicp.OA-2018-0259

  47810 3359 pp. 1032-1052

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu

  2018-04-04

  DOI:10.4208/cicp.130715.010216a

  40589 3221 pp. 835-869

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang, Tao Zhou

  2010-08-01

  DOI:10.4208/cicp.060109.130110a

  40348 4696 pp. 226-248

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0144

  47297 3061 pp. 1296-1316

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  DOI:10.4208/cicp.OA-2024-0066

  15993 1010 pp. 30-60

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  DOI:10.4208/cicp.OA-2022-0106

  46564 3360 pp. 1094-1128

• A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

  Fatih Cevik, Kahraman Albayrak

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0014

  42319 3412 pp. 393-421

• On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

  Yongle Du, John A. Ekaterinaris

  2018-04-04

  DOI:10.4208/cicp.OA-2016-0032

  39788 3165 pp. 486-511

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  DOI:10.4208/cicp.161112.230713a

  40825 4160 pp. 487-505